2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/146750The objective of this work is to provide a general introduction into the symmetry analysis of the rachet effect using a simple, non-interacting one-particle dynamics. Despite its simplicity, this model contains all the basic aspects of classical and quantum ratchet dynamics, and may be used also as a starting point of incorporating atom-atom interactions.10 pages, 4 figuresStatistical Mechanicstext